4524871680 has 624 divisors, whose sum is σ = 18824883840. Its totient is φ = 1028063232.

The previous prime is 4524871669. The next prime is 4524871699. The reversal of 4524871680 is 861784254.

4524871680 is a `hidden beast` number, since 4 + 5 + 2 + 487 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094957 + ... + 27095123.

Almost surely, 2^4524871680 is an apocalyptic number.

4524871680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4524871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9412441920).

4524871680 is an abundant number, since it is smaller than the sum of its proper divisors (14300012160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4524871680 is a wasteful number, since it uses less digits than its factorization.

4524871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4524871680 is about 67267.1664335581. The cubic root of 4524871680 is about 1653.9996851524. Note that the first 3 decimals are identical.

The spelling of 4524871680 in words is "four billion, five hundred twenty-four million, eight hundred seventy-one thousand, six hundred eighty".